Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175z |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
23909083906640625 = 36 · 58 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-132188,-16947633] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1354:1] |
Generators of the group modulo torsion |
j |
16348578116081401/1530181370025 |
j-invariant |
L |
3.7565835455422 |
L(r)(E,1)/r! |
Ω |
0.25188329332928 |
Real period |
R |
1.2428320457178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635l2 |
Quadratic twists by: 5 |